| Christoffel transformations for matrix orthogonal polynomials in the real line and the non-Abelian 2D Toda lattice hierarchy C Álvarez-Fernández, G Ariznabarreta, JC García-Ardila, M Mañas, ... International Mathematics Research Notices 2017 (5), 1285-1341, 2017 | 76 | 2017 |
| Matrix biorthogonal polynomials on the real line: Geronimus transformations G Ariznabarreta, JC García-Ardila, M Mañas, F Marcellán Bulletin of mathematical sciences 9 (02), 1950007, 2019 | 45* | 2019 |
| Non-Abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations G Ariznabarreta, JC García-Ardila, M Mañas, F Marcellán Journal of Physics A: Mathematical and Theoretical 51 (20), 205204, 2018 | 34 | 2018 |
| Multiple Geronimus transformations M Derevyagin, JC García-Ardila, F Marcellán Linear Algebra and its Applications 454, 158-183, 2014 | 33 | 2014 |
| Orthogonal Polynomials and Linear Functionals: An Algebraic Approach and Applications JC García-Ardila, F Marcellán, ME Marriaga European Mathematical Society, 2021 | 21* | 2021 |
| Associated orthogonal polynomials of the first kind and Darboux transformations JC García-Ardila, F Marcellán, PH Villamil-Hernández Journal of Mathematical Analysis and Applications 508 (2), 125883, 2022 | 9 | 2022 |
| A canonical Geronimus transformation for matrix orthogonal polynomials JC García-Ardila, LE Garza, F Marcellán Linear and Multilinear Algebra 66 (2), 357-381, 2018 | 9 | 2018 |
| On the Darboux transformations and sequences of p-orthogonal polynomials DB Rolania, JC García-Ardila, D Manrique Applied Mathematics and Computation 382, 125337, 2020 | 8 | 2020 |
| Matrix Toda and Volterra lattices A Branquinho, A Foulquié-Moreno, JC García-Ardila Applied Mathematics and Computation 365, 124722, 2020 | 8 | 2020 |
| Geronimus transformations for sequences of d-orthogonal polynomials D Barrios Rolania, JC García-Ardila Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie …, 2020 | 7 | 2020 |
| From standard orthogonal polynomials to Sobolev orthogonal polynomials: The role of semiclassical linear functionals JC García-Ardila, F Marcellán, ME Marriaga Orthogonal Polynomials: 2nd AIMS-Volkswagen Stiftung Workshop, Douala …, 2020 | 6 | 2020 |
| An extension of the Geronimus transformation for orthogonal matrix polynomials on the real line JC García-Ardila, LE Garza, F Marcellán Mediterranean Journal of Mathematics 13, 5009-5032, 2016 | 5 | 2016 |
| The diagonal general case of the laguerre-sobolev type orthogonal polynomials H Duenas, JC Garcıa, LE Garza, A Ramırez Revista Colombiana de Matemáticas 47 (1), 39-66, 2013 | 5 | 2013 |
| On Sobolev bilinear forms and polynomial solutions of second-order differential equations JC García-Ardila, ME Marriaga Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie …, 2021 | 4 | 2021 |
| Approximation by polynomials in Sobolev spaces associated with classical moment functionals JC García-Ardila, ME Marriaga Numerical Algorithms 95 (1), 285-318, 2024 | 2 | 2024 |
| Symmetrization process and truncated orthogonal polynomials D Dominici, JC García-Ardila, F Marcellán arXiv preprint arXiv:2307.09581, 2023 | 2 | 2023 |
| Uvarov perturbations for matrix orthogonal polynomials G Ariznabarreta, J García-Ardila, M Mañas, F Marcellán Proceedings of the American Mathematical Society, Series B 11 (46), 525-537, 2024 | 1 | 2024 |
| Sobolev orthogonality of polynomial solutions of second-order partial differential equations JC García-Ardila, ME Marriaga Computational and Applied Mathematics 42 (1), 13, 2023 | 1 | 2023 |
| Spectral transformations and associated linear functionals of the first kind JC García-Ardila, F Marcellán Axioms 10 (2), 107, 2021 | 1 | 2021 |
| Ratio asymptotics for biorthogonal matrix polynomials with unbounded recurrence coefficients A Branquinho, JC García-Ardila, F Marcellán Applicable Analysis and Discrete Mathematics 14 (3), 754-774, 2020 | 1 | 2020 |
Francisco MarcellánProfesor de Matematicas. Universidad Carlos III de MadridEmail verificata su ing.uc3m.es